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Finding the Third Proportional to 229,121.50 and 503,072

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Solution

The third proportional to 229,121.50 and 503,072 is: 1,104,573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,121.50 : 503,072 = 503,072 : x
  2. Step 2: Convert to fraction form
    229,121.50/503,072 = 503,072/x
  3. Step 3: Cross multiply
    229,121.50x = 503,072 × 503,072
  4. Step 4: Simplify right side
    229,121.50x = 253,081,437,184
  5. Step 5: Solve for x
    x = 253,081,437,184/229,121.50
  6. Step 6: Final answer
    x = 1,104,573.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.